(lg3+2/5lg9+3/5lg√27-lg√3)/(lg81-lg27)=?

Question

(lg3+2/5lg9+3/5lg√27-lg√3)/(lg81-lg27)=?

Answer 1

(lg3+2/5lg9+3/5lg√27-lg√3)/(lg81-lg27)
=(lg3+4/5lg3+(3/2)(3/5)lg3-1/2lg3)/(4lg-3lg3)
=19/5lg3/lg3
=19/5